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Class 10MathematicsSetsThe Empty Set, Finite and Infinite Sets, Equal SetsEasyLevel 4

How many elements are in A = {x : x ∈ ℕ, x is odd and x ≤ 11}?

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Answer and explanation

Correct answer: 6

The odd natural numbers not exceeding 11 are 1, 3, 5, 7, 9, and 11. The inequality x ≤ 11 includes 11 itself, so it must be counted. Listing the elements avoids confusing the answer with the count of odd numbers below 11, which would be five. Therefore the set is finite and has 6 elements.

Tags

setsfinite-setodd-numbersThe Empty SetFinite and Infinite SetsEqual Setsthe empty set finite and infinite sets equal setsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

6

Why is this the correct answer?

The odd natural numbers not exceeding 11 are 1, 3, 5, 7, 9, and 11. The inequality x ≤ 11 includes 11 itself, so it must be counted. Listing the elements avoids confusing the answer with the count of odd numbers below 11, which would be five. Therefore the set is finite and has 6 elements.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.

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